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Finding the Fourth Proportional to 11,191.20, 16,819.20 and 9,765.60

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Solution

The fourth proportional to 11,191.20, 16,819.20 and 9,765.60 is: 14,676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,191.20 : 16,819.20 = 9,765.60 : x
  2. Step 2: Convert to fraction form
    11,191.20/16,819.20 = 9,765.60/x
  3. Step 3: Cross multiply
    11,191.20x = 16,819.20 × 9,765.60
  4. Step 4: Simplify right side
    11,191.20x = 164,249,579.52
  5. Step 5: Solve for x
    x = 164,249,579.52/11,191.20
  6. Step 6: Final answer
    x = 14,676.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.